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We propose a dynamic multiplicative factor model for process data, which arise from complex problem-solving items, an emerging testing mode in large-scale educational assessment. The proposed model can be viewed as an extension of the…

Methodology · Statistics 2026-02-26 Fangyi Chen , Hok Kan Ling , Zhiliang Ying

Digital monitoring studies collect real-time high frequency data via mobile sensors in the subjects' natural environment. This data can be used to model the impact of changes in physiology on recurrent event outcomes such as smoking, drug…

Methodology · Statistics 2022-04-15 Walter Dempsey

Factor analysis is a widely used statistical tool in many scientific disciplines, such as psychology, economics, and sociology. As observations linked by networks become increasingly common, incorporating network structures into factor…

Methodology · Statistics 2024-03-27 Jinming Li , Gongjun Xu , Ji Zhu

The modal factor model represents a new factor model for dimension reduction in high dimensional panel data. Unlike the approximate factor model that targets for the mean factors, it captures factors that influence the conditional mode of…

Econometrics · Economics 2024-10-01 Zhe Sun , Yundong Tu

In this paper, we introduce new parametric and semiparametric regression techniques for a recurrent event process subject to random right censoring. We develop models for the cumula- tive mean function and provide asymptotically normal…

Statistics Theory · Mathematics 2015-03-17 Olivier Bouaziz , Ségolen Geffray , Olivier Lopez

The purpose of this article is to develop the dimension reduction techniques in panel data analysis when the number of individuals and indicators is large. We use Principal Component Analysis (PCA) method to represent large number of…

Methodology · Statistics 2017-01-10 Guobin Fang , Kani Chen , Bo Zhang

This review article provides an overview of recent work in the modeling and analysis of recurrent events arising in engineering, reliability, public health, biomedicine and other areas. Recurrent event modeling possesses unique facets…

Methodology · Statistics 2007-08-03 Edsel A. Peña

Matrix time series, which consist of matrix-valued data observed over time, are prevalent in various fields such as economics, finance, and engineering. Such matrix time series data are often observed in high dimensions. Matrix factor…

Methodology · Statistics 2024-07-09 Ruofan Yu , Rong Chen , Han Xiao , Yuefeng Han

This paper generalises dynamic factor models for multidimensional dependent data. In doing so, it develops an interpretable technique to study complex information sources ranging from repeated surveys with a varying number of respondents to…

Econometrics · Economics 2023-01-31 Matteo Barigozzi , Filippo Pellegrino

High-dimensional multivariate spatial-temporal data arise frequently in a wide range of applications; however, there are relatively few statistical methods that can simultaneously deal with spatial, temporal and variable-wise dependencies…

Methodology · Statistics 2020-02-05 Elynn Y. Chen , Xin Yun , Rong Chen , Qiwei Yao

Recurrent events, including cardiovascular events, are commonly observed in biomedical studies. Researchers must understand the effects of various treatments on recurrent events and investigate the underlying mediation mechanisms by which…

Methodology · Statistics 2025-07-08 Yan-Lin Chen , Yan-Hong Chen , Pei-Fang Su , Huang-Tz Ou , An-Shun Tai

Dynamic factor models have been developed out of the need of analyzing and forecasting time series in increasingly high dimensions. While mathematical statisticians faced with inference problems in high-dimensional observation spaces were…

Econometrics · Economics 2024-01-03 Matteo Barigozzi , Marc Hallin

Dynamic network analysis has found an increasing interest in the literature because of the importance of different kinds of dynamic social networks, biological networks, and economic networks. Most available probability and statistical…

Methodology · Statistics 2017-10-18 Elynn Yi Chen , Rong Chen

Dynamic discrete choice models are widely employed to answer substantive and policy questions in settings where individuals' current choices have future implications. However, estimation of these models is often computationally intensive…

Methodology · Statistics 2025-04-11 Ebrahim Barzegary , Hema Yoganarasimhan

In this study, we develop a latent factor model for analysing high-dimensional binary data. Specifically, a standard probit model is used to describe the regression relationship between the observed binary data and the continuous latent…

Methodology · Statistics 2024-04-15 Jiaxin Shi , Yuan Gao , Rui Pan , Hansheng Wang

Asymptotic properties, both consistency and weak convergence, of estimators arising in a general class of dynamic recurrent event models are presented. The class of models take into account the impact of interventions after each event…

Statistics Theory · Mathematics 2019-11-19 Edsel A. Pena

Factor analysis for high-dimensional data is a canonical problem in statistics and has a wide range of applications. However, there is currently no factor model tailored to effectively analyze high-dimensional count responses with…

Methodology · Statistics 2024-08-21 Wei Liu , Qingzhi Zhong

Large tensor (multi-dimensional array) data are now routinely collected in a wide range of applications, due to modern data collection capabilities. Often such observations are taken over time, forming tensor time series. In this paper we…

Methodology · Statistics 2020-05-20 Rong Chen , Dan Yang , Cun-hui Zhang

Multi-event detection and recognition in real time is of challenge for a modern grid as its feature is usually non-identifiable. Based on factor model, this paper porposes a data-driven method as an alternative solution under the framework…

Applications · Statistics 2017-12-27 Fan Yang , Xing He , Robert Caiming Qiu , Zenan Ling

Data can be assumed to be continuous functions defined on an infinite-dimensional space for many phenomena. However, the infinite-dimensional data might be driven by a small number of latent variables. Hence, factor models are relevant for…

Methodology · Statistics 2022-05-18 Israel Martínez-Hernández , Jesús Gonzalo , Graciela González-Farías
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